Indices of convexity and concavity. Application to Halley method.

  1. Hernández, M.A. 1
  2. Salanova, M.A. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Applied Mathematics and Computation

ISSN: 0096-3003

Datum der Publikation: 1999

Ausgabe: 103

Nummer: 1

Seiten: 27-49

Art: Artikel

SCOPUS: 2-s2.0-0039181891 WoS: WOS:000080468100003 GOOGLE SCHOLAR

Andere Publikationen in: Applied Mathematics and Computation

Institutionelles Repository: lock_openOpen Access Editor

Zusammenfassung

We define an index to measure the convexity of a convex function f at each point. We use this index to establish conditions on the convergence of the Halley method in the complex plane and in Banach spaces.